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Finding the Third Proportional to 113,019 and 138,291

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Solution

The third proportional to 113,019 and 138,291 is: 169,214.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,019 : 138,291 = 138,291 : x
  2. Step 2: Convert to fraction form
    113,019/138,291 = 138,291/x
  3. Step 3: Cross multiply
    113,019x = 138,291 × 138,291
  4. Step 4: Simplify right side
    113,019x = 19,124,400,681
  5. Step 5: Solve for x
    x = 19,124,400,681/113,019
  6. Step 6: Final answer
    x = 169,214.03

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.